Theorems · Theorem · nonassociative algebras

LieRinehartSubalgebra.toLieSubalgebra_inj

∀ {A : Type u_1} {L : Type u_2} [inst : CommRing A] [inst_1 : LieRing L] [inst_2 : Module A L]
  [inst_3 : LieRingModule L A] [inst_4 : LieRinehartRing A L] (R : Type u_3) [inst_5 : CommRing R]
  [inst_6 : Algebra R A] [inst_7 : LieAlgebra R L] [inst_8 : LieRinehartAlgebra R A L]
  (L₁' L₂' : LieRinehartSubalgebra A L), L₁'.toLieSubalgebra R = L₂'.toLieSubalgebra R ↔ L₁' = L₂'

Defined in

Mathlib.Algebra.LieRinehartAlgebra.Subalgebra

Cited by

0 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext

Assumes

CommRingLieRingModuleLieRingModuleLieRinehartRingCommRingAlgebraLieAlgebraLieRinehartAlgebra